Stefan Dietrich and Margareta Pavaloi

The von Portheim Foundation in Heidelberg
A Century for Science and the Arts

In 2019, the ›Josefine and Eduard von Portheim Foundation for Science and the Arts‹ celebrated its centenary. The book gives a summary description of the development of the Foundation, its institutes and collections from its establishment until the difficult new start after the Second World War. It is equally the history of today’s Ethnographic Museum vPST which is based on the Foundation’s former Ethnographic Institute. The publication provides information on the life and work of Victor and Leontine Goldschmidt, who established and endowed the Foundation, on its guiding ideas and purpose, and on its misuse under the National Socialist regime. It looks at the scientific work of Victor Goldschmidt, the eminent crystallographer, at his attempts to bridge the gap between sciences and the humanities, and the manifold relations between the Foundation and the University of Heidelberg.

Matthias Bartelmann

General Relativity

Lecture Notes

Einstein‘s theory of general relativity is still the valid theory of gravity and has been confirmed by numerous tests and measurements. It is built upon simple principles and relates the geometry of space-time to its matter-energy content. These lecture notes begin by introducing the physical principles and by preparing the necessary mathematical tools taken from differential geometry. Beginning with Einstein’s field equations, which are introduced in two different ways in the lecture, the motion of test particles in a gravitational field is then discussed, and it is shown how the properties of weak gravitational fields follow from the field equations. Solutions for compact objects and black holes are derived and discussed as well as cosmological models. Two applications of general relativity to astrophysics conclude the lecture notes.

Joachim Heintze, Maarten DeKieviet and Jörg Hüfner

Geschichte der Physik an der Universität Heidelberg

More than 600 years of physics and astronomy at the University of Heidelberg: From the late middle ages to the present times, from the study of Aristotelian physics to experiments at the accelerators in Geneva. The university experienced ups and downs, until its physics faculty finally became the largest one in Germany. During the Thirty Years' War, the university was closed, and during the times of National Socialism, Heidelberg became the centre of “German physics”. Scientific highlights were the deciphering of the spectra of star light by Bunsen und Kirchhoff and the discovery of the nuclear shell model by Jensen, who won the Nobel prize.

Axel Michaels, Margareta Pavaloi (Eds.)

The Scholar’s Choice
Lieblingsstücke Heidelberger Wissenschaftler aus dem Völkerkundemuseum der von Portheim-Stiftung. Eine Ausstellung anlässlich der Eröffnung des Centrums für Asienwissenschaften und Transkulturelle Studien (CATS)

This volume, which emerged from an exhibition of the same name, comprises seventeen objects from the Ethnological Museum of the von Portheim Foundation in Heidelberg that address various themes of life: love, disguise by masks or jewellery, religion, music, food, measurement and weighing, books, weapons, travel, domination, death. The objects were selected as their favourite pieces by Heidelberg scholars associated with the Centre for Asian Studies and Transcultural Studies, which opened in 2019.

Maria Effinger, Henry Keazor (Eds.)

Show & Tell. Studierende bieten Einblick in die Privatsammlung Erik Jayme
Eine Ausstellung der Universitätsbibliothek Heidelberg und des Instituts für Europäische Kunstgeschichte der Universität Heidelberg

Einsichten - Kataloge der Universitätsbibliothek Heidelberg, Vol. 1

 

It is part of the work of art historians to present selected works of art to a public. Usually, it is only possible to gain the necessary experience and to thus learn the appropriate skills one has entered the professional. However, in a seminar project of the Institute for European Art History at Heidelberg University, the students were offered the rare opportunity to organize their own exhibition already during their studies: they could choose freely works of art from the private collection of Dr. h.c. mult. Erik Jayme and assemble them into an exhibition, then shown in the University Library Heidelberg.

The exhibition Show & Tell. Studierende bieten Einblick in die Privatsammlung Erik Jayme is open to the public from Mai 15th 2019 till February 16th 2020.

Rolf Rannacher

Lineare Optimierung
Numerik linearer und konvexer nichtlinearer Optimierungsaufgaben

Lecture Notes

This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at the Universities in Saarbrücken and Heidelberg. In the present part basic concepts of numerical methods are presented for solving linear optimization problems (so-called “Linear Programming”). This includes besides the classical ”Simplex method“ also modern ”Interior-point methods“. As natural extensions methods for convex nonlinear, especially quadratic, optimization problems are discussed. Theoretical as well as practical aspects are considered. As prerequisite only that prior knowledge is required, which is usually taught in the introductory Analysis, Linear Algebra, and Numerics courses. For facilitating self-learning the book contains theoretical and practical exercises with solutions collected in the appendix.

Rolf Rannacher

Numerical Linear Algebra

Lecture Notes

This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at the Universities in Saarbrücken and Heidelberg.

In the present part basic concepts of numerical methods are presented for solving linear optimization problems (so-called “Linear Programming”). This includes besides the classical ”Simplex method“ also modern ”Interior-point methods“. As natural extensions methods for convex nonlinear, especially quadratic, optimization problems are discussed.

Theoretical as well as practical aspects are considered. As prerequisite only that prior knowledge is required, which is usually taught in the introductory Analysis, Linear Algebra, and Numerics courses. For facilitating self-learning the book contains theoretical and practical exercises with solutions collected in the appendix.

Rolf Rannacher

Analysis 3
Intergralsätze, Lebesgue-Integral und Anwendungen

Lecture Notes

This introductory text is based on lectures within a three-semester course on "Real Analysis", given by the author at Heidelberg University. The present third part treats the Riemann integral over lines and surfaces and the integral formulas of Gauß and Stokes. Further, the Lebesgue integral and the corresponding function spaces are introduced. Then, applications are discussed in the theory of Fourier integrals, for basic problems in the calculus of variations and in the theory of partial differential equations. Contents and
presentation are particularly oriented towards the needs of applications in the theory of differential equations, in Mathematical Physics and in Numerical Analysis. The understanding of the contents requires besides the material of the preceding parts of this series, "Analysis 1 (Differential- und Integralrechnung für Funktionen einer reellen Veränderlichen)" and "Analysis 2 (Differential- und Integralrechnung für Funktionen mehrerer reeller Veränderlichen)", only some basic prior knowledge of Linear Algebra. For supporting
self-study each chapter contains exercises with solutions collected in the appendix.

Rolf Rannacher

Analysis 2
Differential- und Integralrechnung für Funktionen mehrerer reeller Veränderlichen

Lecture Notes

This introductory text is based on lectures within a three-semester course on "Real Analysis" given by the author at Heidelberg University. The present second part is devoted to the classical calculus of differentiation and integration for functions of several real variables. Content and presentation are particularly oriented towards the needs of the application in the theory of differential equations, in Mathematical Physics and in Numerical Analysis. The understanding of the contents requires besides the material of the preceding part of this series, "Analysis 1 (Differential- und Integralrechnung fur Funktionen einer reellen Veränderlichen)", only some basic prior knowledge of Linear Algebra.
For supporting self-study each chapter contains exercises with solutions collected in the appendix.

Manuel Obermaier, Florian Meister, Markus A. Weigand (Eds.)

Die Kunst der Narkose
Geschichte der Heidelberger Anästhesiologie. Festschrift anlässlich des 50-jährigen Jubiläums des Ordinariats für Anästhesiologie an der Ruprecht-Karls-Universität Heidelberg 2017

Anesthesiology has a long and eventful tradition in Heidelberg, beginning with the first “narcosis pioneers” – then part of the surgical ward – of the 19th century and resulting in an independent department whose chair was established in 1967. The development of modern anesthesiology is impressive, being a central branch within the field of contemporary medicine, including intensive and emergency medicine, as well as pain treatment and palliative medicine, thus linking the individual operative and non-operative departments. In the light of modern medical and demographic developments, anesthesiology faces the challenge that a growing number of older and seriously ill people undergo surgery. This requires a fine balance between individual needs and the economic necessities and progressive commercialization of medicine.

Rolf Rannacher

Analysis 1
Differential- und Integralrechnung für Funktionen einer Veränderlichen

Lecture Notes

This introductory text is based on lectures within a three-semester cycle on "Real Analysis" given by the author at Heidelberg University. The present first part is devoted to the classical calculus of differentiation and integration for functions of one real variable. Content and presentation are particularly oriented towards the needs of the application in the theory of differential equations, in Mathematical Physics and in Numerical Analysis.
For supporting self-study each chapter contains exercises with solutions collected in the appendix.

Rolf Rannacher

Numerik 3
Probleme der Kontinuumsmechanik und ihre numerische Behandlung

Lecture Notes

This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at Heidelberg University over a period of 25 years. The present fourth part is devoted to problems in Continuum Mechanics, especially in Structural and Fluid Mechanics, and their numerical solution by finite element methods. Again theoretical as well as practical aspects are considered. As basis of an appropriate numerical approximation the mathematical models are systematically derived from fundamental physical principles. The understanding of the contents requires besides the material of the preceding parts of this series, “Numerik 0 (Einführung in die Numerische Mathematik)”, “Numerik 1 (Numerik gewöhnlicher Differentialgleichungen)”, and “Numerik 2 (Numerik partieller Differentialgleichungen)” only that prior knowledge as is usually provided in the basic Analysis and Linear Algebra courses.

Rolf Rannacher

Numerik 2
Numerik partieller Differentialgleichungen

Lecture Notes

This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at Heidelberg University over a period of 25 years. The present third part is devoted to numerical methods for solving partial differential equations. Again theoretical as well as practical aspects are considered.

The understanding of the contents requires besides the material of the first two parts of this series, "Numerik 0 (Einführung in die Numerische Mathematik)" and "Numerik 1 - (Numerik gewöhnlicher  Differentialgleichungen)", only that prior knowledge as is usually provided in the basic Analysis and Linear Algebra courses. For facilitating self-learning the book contains theoretical exercises with solutions.

Rolf Rannacher

Numerik 1
Numerik gewöhnlicher Differentialgleichungen

Lecture Notes

This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at Heidelberg University over a period of 25 years. The present second part treats numerical methods for solving ordinary differential equations. Again theoretical as well as practical aspects are considered. The last chapter provides an outlook on numerical methods for partial differential equations. The  understanding of the contents requires besides the material of the first volume in this series “Numerik 0” only that prior knowledge as is usually provided in the basic Analysis and Linear Algebra courses. For facilitating self-learning the book contains theoretical and practical exercises with solutions.

Rolf Rannacher

Numerik 0
Einführung in die Numerische Mathematik

Lecture Notes

This introductory text is based on courses on “Numerical Mathematics” given by the author at Heidelberg University within a multi-semester cycle over a period of 25 years. The present first part covers fundamental concepts of numerical methods for solving ordinary analysis and linear algebra problems. Both theoretical and practical aspects are considered. The understanding of the contents requires only that prior knowledge as is usually provided in the basic Analysis and Linear Algebra courses. For facilitating self-learning the book contains theoretical and practical exercises with solutions.

Heike Hawicks, Ingo Runde (Eds.)

Die Alte Aula der Universität Heidelberg

The Great Hall of the Old University building is the ceremonial hall and heart of Heidelberg University. With the aid of allegories and metaphors, it illustrates the history and self-image of the oldest university in modern-day Germany. Originally built in the baroque style, it was remodelled completely on the occasion of the University’s 500th anniversary. The magnificent room donated by the Grand Duke of Baden is one of the few ensembles of the Karlsruhe School of Woodcutting that remains intact; it is used primarily for academic events such as inaugural lectures of newly appointed professors or graduation ceremonies. But the Great Hall is also a place for public concerts and presentations to which the venerable surroundings lend a particular splendour.

Heidelberger Jahrbücher Online


Heidelberg Yearbooks Online is a platform for the scientific spirit and the historic dimension of Heidelberg University. The Yearbooks are hosted by the Friends of the University, a non-commercial organization in support of Heidelberg University. Each yearbook focuses on an overarching thematic issue that will be interpreted by heterogenous points of view. The yearbooks are intended to foster communication and contact between scientists from different disciplines.

Ruperto Carola


The "Ruperto Carola" research journal reports on scientific findings and current research activities at Heidelberg University. Every issue is dedicated to a central theme of high social relevance, to which Heidelberg scholars contribute by presenting related research projects across the entire range of disciplines and subjects. The journal is published by the President of Heidelberg University and edited by the "Communications and Marketing" team.

Studium Generale


Die Publikationen des Studium Generale sind von der gleichnamigen Vorlesungsreihe abgeleitet, die in jedem Semester ein Schwerpunktthema aufgreift und für die interessierte Öffentlichkeit aufbereitet. Herausgeber ist der zuständige Prorektor und Vorsitzende der Kommission Studium Generale, die redaktionelle Verantwortung liegt bei der Abteilung Wissensaustausch.